540576401405616 has 160 divisors (see below), whose sum is σ = 1638167167852800. Its totient is φ = 170201783485440.

The previous prime is 540576401405611. The next prime is 540576401405617. The reversal of 540576401405616 is 616504104675045.

540576401405616 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 7 + 6 + 4 + 0 + 14 + 0 + 5 + 616 = 666.

It is a super-2 number, since 2×540576401405616² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (540576401405611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94948590 + ... + 100480781.

It is an arithmetic number, because the mean of its divisors is an integer number (10238544799080).

Almost surely, 2^{540576401405616} is an apocalyptic number.

It is an amenable number.

540576401405616 is an abundant number, since it is smaller than the sum of its proper divisors (1097590766447184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540576401405616 is a wasteful number, since it uses less digits than its factorization.

540576401405616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195429744 (or 195429732 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 540576401405616 in words is "five hundred forty trillion, five hundred seventy-six billion, four hundred one million, four hundred five thousand, six hundred sixteen".